Essay
Consider the one-variable regression model,Yi = β0 + β1Xi + ui,where the usual assumptions from Chapter 4 are satisfied.However,suppose that both Y and X are measured with error,
= Yi + zi and
= Xi + wi.Let both measurement errors be i.i.d.and independent of both Y and X respectively.If you estimated the regression model
= β0 + β1
+ vi using OLS,then show that the slope estimator is not consistent.
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